1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Free_Kalibri [48]
2 years ago
10

Event A has a probability of occurring of 4/5 . Event B has a probability of occurring of 1/3. If events A and B are independent

of one another, what is the probability of both events occurring?
Mathematics
1 answer:
Karolina [17]2 years ago
7 0

The probability of both events occurring is  4/15

<h3>How to determine the probability?</h3>

The given parameters are:

P(A) = 4/5

P(B) = 1/3

Because the events are independent, we have:

p(A and B) = P(A) * P(B)

This gives

P(A and B) = 4/5 * 1/3

Evaluate

P(A and B) = 4/15

Hence, the probability of both events occurring is  4/15

Read more about probability at:

brainly.com/question/11234923

#SPJ1

You might be interested in
Determine the temperature of 2.6 moles of gas contained in a 5.00-L vessel at a pressure of 1.2atm.
strojnjashka [21]

Answer:

28.108 K.

Step-by-step explanation:

Given: Pressure (P)= 1.2atm

           Number of moles (n)=  2.6 moles

           Volume (V)= 5.00-L

Now finding the temperature (T).

Formula; T= \frac{P\times V}{n\times R}

R is a constant factor which makes other factors work together.

There is a numerical value for R which we use is 0.0821 \times \frac{L.atm}{mole.K}

∴ Temperature (T)= \frac{1.2\times 5}{2.6\times 0.0821 \frac{L.atm}{mol.K} }

⇒ Temperature (T)= \frac{6}{0.21346} = 28.1083\ K

∴ Temperature is 28.108 K

8 0
2 years ago
Explain how to model the problem with algebra tiles and
gregori [183]

Answer:someone answer the question already

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Find the length of the arc and express your answer as a fraction times pie
Elina [12.6K]

Solution:

Given a circle of center, A with radius, r (AB) = 6 units

Where, the area, A, of the shaded sector, ABC, is 9π

To find the length of the arc, firstly we will find the measure of the angle subtended by the sector.

To find the area, A, of a sector, the formula is

\begin{gathered} A=\frac{\theta}{360\degree}\times\pi r^2 \\ Where\text{ r}=AB=6\text{ units} \\ A=9\pi\text{ square units} \end{gathered}

Substitute the values of the variables into the formula above to find the angle, θ, subtended by the sector.

\begin{gathered} 9\pi=\frac{\theta}{360\degree}\times\pi\times6^2 \\ Crossmultiply \\ 9\pi\times360=36\pi\times\theta \\ 3240\pi=36\pi\theta \\ Divide\text{ both sides by 36}\pi \\ \frac{3240\pi}{36\pi}=\frac{36\pi\theta}{36\pi} \\ 90\degree=\theta \\ \theta=90\degree \end{gathered}

To find the length of the arc, s, the formula is

\begin{gathered} s=\frac{\theta}{360\degree}\times2\pi r \\ Where \\ \theta=90\degree \\ r=6\text{ units} \end{gathered}

Substitute the variables into the formula to find the length of an arc, s above

\begin{gathered} s=\frac{\theta}{360}\times2\pi r \\ s=\frac{90\degree}{360\degree}\times2\times\pi\times6 \\ s=\frac{12\pi}{4}=3\pi\text{ units} \\ s=3\pi\text{ units} \end{gathered}

Hence, the length of the arc, s, is 3π units.

4 0
11 months ago
Find the number of roots for the following equation. 9x5 + 12x4 – x2 + 8x + 4=0​
skad [1K]

Answer:

5 roots

Step-by-step explanation:

Given

9x^5 + 12x^4 - x^2 + 8x + 4 = 0

Required

The number of roots

The degree of a polynomial represents the number of roots.

In the given equation, the degree of the polynomial is 5.

<em></em>

<em>Hence, the number of roots is 5</em>

8 0
2 years ago
For the following system, if you isolated x in the first equation to use the substitution method, what expression would you subs
Musya8 [376]

Answer:

x = 2y + 6

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • In a sample of 120 randomly selected people in City A, 5% prefer eating salad after the main course. In a sample of 120 randomly
    6·1 answer
  • Find all points having an x coordinate of -3 whose distance from the point (-6,5) is 5
    12·1 answer
  • John’s parents put $40 on his school account for lunch. Each day is a three dollars for lunch. Y represent the amount of money J
    6·1 answer
  • An auto store is having a sale on motor oil. The chart shows the price per quart as the number of quarts purchased increases.
    10·1 answer
  • (c) Mr. Young suggested contacting a travel agent to see whether they could get a lower price. The agent found a price that was
    10·1 answer
  • Plss join really bored <br><br> ID 852 183 4117 <br> code WKJV5p
    7·1 answer
  • Anna is testing different weights of certain things. The bucket she is holding that is full of water weighs 5lbs. Anna weighs he
    5·2 answers
  • Tính tích phân sau bằng cách dùng tọa độ cực I=∫∫ <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Csqrt%7Bx%5E%7B2%7D%20%2B
    7·1 answer
  • Order the rational numbers from least to greatest
    10·2 answers
  • In a fraction, the numerator is 12 less than the denominator. When simplified, the fraction is equal to 3/5 . What is the fracti
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!